2020 academic year

No. 1

Date: March 26 (Fri) 16:30 - 18:00

Place: Online (Microsoft Teams)

Speaker: Masafumi Yoshino (Professor Emeritus Hiroshima University)

Title:Construction of solution with movable singular point of Hamiltonian system and singularity of semi-linear PDE

Abstract:

    We construct a solution with a movable singular point of a class of Hamiltonian systems which contains a Painleve equation and a semi-linear Heun equation appearing as the equation satisfied by a self-similar solution of a semi-linear wave equation etc. Here the movable singular point is the one which is not a singular point of the equation that depends on the respective initial values. By using the elliptic function we construct a singular solution and we study the structure of a movable singular point. We also state the relation between our result and the (global) Borel summability theory for PDE which is studied by many authors recently.

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